Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-01-28
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, no figures
Scientific paper
Polynomials in Grassmann space can be used to describe all the internal degrees of freedom of spinors, scalars and vectors, that is their spins and charges. It was shown that K\"ahler spinors, which are polynomials of differential forms, can be generalized to describe not only spins of spinors but also spins of vectors as well as spins and charges of scalars, vectors and spinors. If the space (ordinary and noncommutative) has 14 dimensions or more, the appropriate spontaneous break of symmetry leads gravity in $d$ dimensions to manifest in four dimensional subspace as ordinary gravity and all needed gauge fields as well as the Yukawa couplings. Both approaches, the K\"ahler's one (if generalized) and our, manifest four generations of massless fermions, which are left handed SU(2) doublets and right handed SU(2) singlets. In this talk a possible way of spontaneously broken symmetries is pointed out on the level of canonical momentum.
Borstnik Norma Mankoc
Nielsen Holger Bech
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